document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101859>Question 1101859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test 28 tablets, then accept the whole batch if there is at most one that doesn’t meet the required specifications. If a particular shipment of thousands of ibuprofen tablets actually has a 9% rate of defects, what is the probability that this whole shipment will be accepted?\r<BR>\n" );
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document.write( "(Report answer as a decimal value accurate to four decimal places.) <BR>\n" );
document.write( "P(accept shipment) = <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716611 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716611\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is the problem worked out for 14 tablets and 3%\r<BR>\n" );
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document.write( "In order for there to be no defects then all 14 of the test tablets must be good so <BR>\n" );
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document.write( "P(no defects out of 14) = 0.9714 ~ 0.6528  <BR>\n" );
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document.write( "If there is 1 tablet that is bad then it can be any one of the 14 tablets (this can happen in 14 different ways), times the probability that 1 tablet is bad and 13 are good, so <BR>\n" );
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document.write( "P(1 defect out of 14) = 14*0.03*0.9713 ~ 0.2827<BR>\n" );
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document.write( "The probability that either of these cases happen is the sum of the individual probabilities which is <BR>\n" );
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document.write( "P(shipment accepted) = 0.6528 + 0.2827 = 0.9355  </SPAN>\n" );
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